Question

13. The specific heat of zinc is 386 joules per kilogram per Celsius degree. The amount of heat energy required to raisethe temperature of 0.25 kilogram of zinc from 0°C to 28°C is most nearly(a) 1500 J(b) 2700 J(c) 3500 J(d) 4300 J

Answer 1

Given data

*The specific heat of zinc is c = 386 J/kg

*The given mass of zinc is m = 0.25 kg

*The initial temperature of zinc is t = 0°C

*The final temperature of zinc is T = 28°C

The formula for the amount of heat energy required to raise the temperature of 0.25 kilogram of zinc from 0°C to 28°C is given as

`Q=mc(T-t)`

Substitute the values in the above expression as

`\begin{gathered} Q=(0.25)(386)(28-0) \\ =2702\text{ J} \\ =2700\text{ J} \end{gathered}`

Thus, the amount of heat energy required to raise the temperature of 0.25 kilogram of zinc from 0°C to 28°C is Q = 2700 J and the correct answer is (b)